x^2+3.2x+4.6=0

Solution for x^2+3.2x+4.6=0 equation:

Simplifying
x2 + 3.2x + 4.6 = 0

Reorder the terms:
4.6 + 3.2x + x2 = 0

Solving
4.6 + 3.2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-4.6' to each side of the equation.
4.6 + 3.2x + -4.6 + x2 = 0 + -4.6

Reorder the terms:
4.6 + -4.6 + 3.2x + x2 = 0 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + 3.2x + x2 = 0 + -4.6
3.2x + x2 = 0 + -4.6

Combine like terms: 0 + -4.6 = -4.6
3.2x + x2 = -4.6

The x term is 3.2x.  Take half its coefficient (1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
3.2x + 2.56 + x2 = -4.6 + 2.56

Reorder the terms:
2.56 + 3.2x + x2 = -4.6 + 2.56

Combine like terms: -4.6 + 2.56 = -2.04
2.56 + 3.2x + x2 = -2.04

Factor a perfect square on the left side:
(x + 1.6)(x + 1.6) = -2.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.